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math.AP2021
Trace regularity for biharmonic evolution equations with Caputo derivatives
Paola Loreti, Daniela Sforza
Our goal is to establish a hidden regularity result for solutions of time fractional Petrovsky system where the Caputo fractional derivative is of order . We achieve suc…
math.AP2021
Weak solutions for time-fractional evolution equations in Hilbert spaces
Paola Loreti, Daniela Sforza
We introduce a notion of weak solution for abstract fractional differential equations, motivated by the definition of Caputo derivative. We prove existence results for weak and str…